Interactions Between Representation Theory and Algebraic Geometry

表示论与代数几何之间的相互作用

• 批准号: 1707808
• 负责人: Vladimir Drinfeld
• 金额: $ 5.5万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-07-01 至 2018-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1707808&HistoricalAwards=false
• 关键词: Interactions; Between; Representation; Theory; Algebraic

The conference "Interactions between representation theory and algebraic geometry," will take place at the University of Chicago, August 21-25, 2017. It will be a major gathering of researchers in these two interacting branches of mathematics. Representation theory is the algebraic study of symmetries in geometry and physics and is at the crossroads of many important areas of modern mathematics. Algebraic geometry is concerned with the study of shapes that can be described using polynomial equations, and with applying geometric ideas to commutative algebra and number theory. In the past decades, some of the most important results in representation theory have been obtained by applying ideas and methods from algebraic geometry, and conversely many important problems in algebraic geometry have benefited from applying representation theory. The conference will feature one-hour lectures by leading experts in the field, poster presentations, and evening talks by junior mathematicians. The conference will stimulate productive interactions between mathematicians in diverse fields and career stages, including Ph.D. students and postdoctoral researchers.The conference will address recent developments in the interconnected areas of representation theory and algebraic geometry, as well as related subjects, including p-adic Hodge theory, arithmetic geometry and non-commutative algebra. In particular, cutting-edge research related to categorification, symplectic resolutions, quantization, D-modules, quiver varities and the Langlands program will be presented. The conference aims not only to disseminate this research but to make it accessible to junior mathematicians. The webpage is https://sites.google.com/site/2017uchicagomathconference/.

会议“表示理论和代数几何之间的相互作用”，将在芝加哥，2017年8月21日至25日的大学举行。这将是这两个相互作用的数学分支的研究人员的主要聚会。表示论是对几何和物理中对称性的代数研究，是现代数学许多重要领域的交叉点。代数几何学关注的是研究可以用多项式方程描述的形状，并将几何思想应用于交换代数和数论。在过去的几十年里，一些最重要的结果在表示论已经通过应用的思想和方法从代数几何获得，反过来，许多重要的问题在代数几何受益于应用表示论。会议将由该领域的领先专家进行一小时的讲座，海报展示和初级数学家的晚间讲座。会议将促进不同领域和职业阶段的数学家之间的富有成效的互动，包括博士。本次会议将讨论在表示论和代数几何，以及相关学科，包括p-adic霍奇理论，算术几何和非交换代数的相互关联的领域的最新发展。特别是，前沿的研究有关的分类，辛决议，量化，D-模，numeratives和朗兰兹计划将被提交。这次会议的目的不仅是传播这项研究，但使其获得初级数学家。网址是https://sites.google.com/site/2017uchicagomathconference/。